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Random walk is one of the basic mechanisms found in many network applications. We study the epidemic spreading dynamics driven by biased random walks on complex networks. In our epidemic model, each time infected nodes constantly spread…

物理与社会 · 物理学 2015-06-22 Cunlai Pu , Siyuan Li , Jian Yang

In this paper, we study the trajectory of a classic SIR epidemic on a family of dynamic random graphs of fixed size, whose set of edges continuously evolves over time. We set general infection and recovery times, and start the epidemic from…

概率论 · 数学 2025-01-17 Marta Milewska , Remco van der Hofstad , Bert Zwart

In network-based SIS models of infectious disease transmission, infection can only occur between directly connected individuals. This constraint naturally gives rise to spatial correlations between the states of neighboring nodes, as the…

统计力学 · 物理学 2026-03-18 Alexander Leibenzon , Samuel W. S. Johnson , Ruth E. Baker , Michael Assaf

In the context of epidemic spreading, many intricate dynamical patterns can emerge due to the cooperation of different types of pathogens or the interaction between the disease spread and other failure propagation mechanism. To unravel such…

物理与社会 · 物理学 2024-05-07 Bo Li , David Saad

Stochastic modeling of disease dynamics has had a long tradition. Among the first epidemic models including a spatial structure in the form of local interactions is the contact process. In this article we investigate two extensions of the…

概率论 · 数学 2007-05-23 L. Belhadji , N. Lanchier

can evolve simultaneously. For the information-driven adaptive process, susceptible (infected) individuals who have abilities to recognize the disease would break the links of their infected (susceptible) neighbors to prevent the epidemic…

物理与社会 · 物理学 2015-05-20 Xiu-Xiu Zhan , Chuang Liu , Gui-Quan Sun , Zi-Ke Zhang

The nodes in communication networks are possibly and most likely equipped with different recovery resources, which allow them to recover from a virus with different rates. In this paper, we aim to understand know how to allocate the limited…

物理与社会 · 物理学 2014-09-01 Bo Qu , Alan Hanjalic , Huijuan Wang

We study a directed flipping process that underlies the performance of the random edge simplex algorithm. In this stochastic process, which takes place on a one-dimensional lattice whose sites may be either occupied or vacant, occupied…

统计力学 · 物理学 2008-10-16 T. Antal , D. ben-Avraham , E. Ben-Naim , P. L. Krapivsky

I study the spreading of infectious diseases on heterogeneous populations. I represent the population structure by a contact-graph where vertices represent agents and edges represent disease transmission channels among them. The population…

种群与进化 · 定量生物学 2009-11-13 Alexei Vazquez

The duration, type and structure of connections between individuals in real-world populations play a crucial role in how diseases invade and spread. Here, we incorporate the aforementioned heterogeneities into a model by considering a…

物理与社会 · 物理学 2018-04-05 Rosanna C Barnard , Istvan Z Kiss , Luc Berthouze , Joel C Miller

Spatial spread of infectious diseases among populations via the mobility of humans is highly stochastic and heterogeneous. Accurate forecast/mining of the spread process is often hard to be achieved by using statistical or mechanical…

社会与信息网络 · 计算机科学 2016-11-18 Jian-Bo Wang , Lin Wang , Xiang Li

When an unprecedented infectious disease with high mortality and transmissibility emerges, immediate usage of vaccines or medicines is hardly available. Thus, many health authorities rely on non-pharmaceutical interventions through…

物理与社会 · 物理学 2022-01-21 Minsuk Kim , Soon-Hyung Yook

We show that a certain model for the spread of an infection has a phase transition in the recuperation rate. The model is as follows: There are particles or individuals of type A and type B, interpreted as healthy and infected,…

概率论 · 数学 2007-05-23 Harry Kesten , Vladas Sidoravicius

Infections diseases are marked by recovering time distributions which can be far from the exponential one associated with Markovian/Poisson processes, broadly applied in epidemic compartmental models. In the present work, we tackled this…

物理与社会 · 物理学 2024-10-03 José Carlos M. Silva , Diogo H. Silva , Francisco A. Rodrigues , Silvio C. Ferreira

We have designed a computational model of a virus spread near the outbreak threshold. Using computer simulation we studied the Susceptible - Infected - Recovered (SIR) process where in consequence of a force of habit that is manifested by…

种群与进化 · 定量生物学 2021-12-23 Jozef Černák

In the present work the spread of epidemic is studied over complex networks which are characterized by power law degree distribution of links and heterogeneous rate of disease transmission. The random allocation of epidemic transmission…

物理与社会 · 物理学 2016-07-19 Vikram Sagar , Yi Zhao

In a metapopulation network, infectious diseases spread widely because of the travel of individuals. In the present study, we consider a modified metapopulation Susceptible-Infected-Removed (SIR) model with a latent period, which we call…

物理与社会 · 物理学 2017-08-02 Kazue Kudo , Kanako Mizuno

In this paper, we propose a modified susceptible-infected-recovered (SIR) model, in which each node is assigned with an identical capability of active contacts, $A$, at each time step. In contrast to the previous studies, we find that on…

物理与社会 · 物理学 2007-05-23 Rui Yang , Bing-Hong Wang , Jie Ren , Wen-Jie Bai , Zhi-Wen Shi , Wen-Xu Wang , Tao Zhou

In this paper we consider a model for the spread of a stochastic SIR (Susceptible $\to$ Infectious $\to$ Recovered) epidemic on a network of individuals described by a random intersection graph. Individuals belong to a random number of…

概率论 · 数学 2014-04-29 Frank G. Ball , David J. Sirl , Pieter Trapman

The dynamics of an SIS epidemic patch model with asymmetric connectivity matrix is analyzed. It is shown that the basic reproduction number $R_0$ is strictly decreasing with respect to the dispersal rate of the infected individuals, and the…

动力系统 · 数学 2019-11-07 Shanshan Chen , Junping Shi , Zhisheng Shuai , Yixiang Wu